Justifying Steps to Solving Equations using Properties

Front

What is the Distributive Property of Equality?

Back

The Distributive Property of Equality states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Division Property of Equality?

Back

The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

How do you apply the Distributive Property in solving equations?

Back

You apply the Distributive Property by multiplying a term outside the parentheses by each term inside the parentheses.

Front

What is an example of using the Addition Property of Equality?

Back

If x - 3 = 5, you can add 3 to both sides to get x = 8.

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What is an example of using the Subtraction Property of Equality?

Back

If x + 4 = 10, you can subtract 4 from both sides to get x = 6.

Front

What is an example of using the Multiplication Property of Equality?

Back

If 2x = 8, you can divide both sides by 2 to get x = 4.

Front

What is an example of using the Division Property of Equality?

Back

If 3x = 12, you can divide both sides by 3 to get x = 4.